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Finding the Third Proportional to 138,894 and 303,924

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Solution

The third proportional to 138,894 and 303,924 is: 665,038.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,894 : 303,924 = 303,924 : x
  2. Step 2: Convert to fraction form
    138,894/303,924 = 303,924/x
  3. Step 3: Cross multiply
    138,894x = 303,924 × 303,924
  4. Step 4: Simplify right side
    138,894x = 92,369,797,776
  5. Step 5: Solve for x
    x = 92,369,797,776/138,894
  6. Step 6: Final answer
    x = 665,038.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.